A special road to AdS vacua
arXiv:0911.2708 · doi:10.1007/JHEP02(2010)027
Abstract
We apply the techniques of special Kaehler geometry to investigate AdS_4 vacua of general N=2 gauged supergravities underlying flux compactifications of type II theories. We formulate the scalar potential and its extremization conditions in terms of a triplet of prepotentials P_x and their special Kaehler covariant derivatives only, in a form that recalls the potential and the attractor equations of N=2 black holes. We propose a system of first order equations for the P_x which generalize the supersymmetry conditions and yield non-supersymmetric vacua. Special geometry allows us to recast these equations in algebraic form, and we find an infinite class of new N=0 and N=1 AdS_4 solutions, displaying a rich pattern of non-trivial charges associated with NSNS and RR fluxes. Finally, by explicit evaluation of the entropy function on the solutions, we derive a U-duality invariant expression for the cosmological constant and the central charges of the dual CFT's.
41 pages; v2, v3: minor improvements, references added, published version
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- All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
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- Generalized Attractor Points in Gauged Supergravity
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- Freudenthal Gauge Theory
- A landscape of non-supersymmetric AdS vacua on coset manifolds
- Examples of N=2 to N=1 supersymmetry breaking
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- Extremal Black Attractors in 8D Maximal Supergravity
- Heterotic Flux Attractors
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- Peccei-Quinn Transformations and Black Holes : Orbit Transmutations and Entanglement Generation
- Hypermoduli Stabilization, Flux Attractors, and Generating Functions
- Generalized Geometry and Partial Supersymmetry Breaking